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A Note on Equilibrium Selection in Polya-Urn Coordination Games

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Author Info
Giorgio Fagiolo

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Abstract

We study equilibrium selection in coordination games played by a population whose size increases over time. In each time period, a new player enters the economy, observes current strategy shares and irreversibly chooses a strategy on the basis of expected payoffs. We employ a simple Polya-Urn scheme to discuss the efficiency of long-run equilibria under alternative individual decision rules (e.g. best-reply, logit, etc.). We show that the system delivers a predictable outcome only when agents employ either a linear or a logit probability rule. If agents employ deterministic best-reply rules, Pareto-efficient coordination can occur, but the actual outcome depends on initial conditions and chance. In all other cases, coexistence of strategies characterizes equilibrium configurations.

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Paper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2005/05.

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Date of creation: 20 Apr 2005
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Handle: RePEc:ssa:lemwps:2005/05

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Related research
Keywords: Coordination Games; Equilibrium Selection; Pareto-Efficient vs. Risk- Dominant Equilibrium; Polya-Urn Schemes.;

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  3. Bhaskar, V & Vega-Redondo, F, 1996. "Migration and the Evolution of Conventions," UFAE and IAE Working Papers 354.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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  4. Fagiolo, Giorgio, 2005. "Endogenous neighborhood formation in a local coordination model with negative network externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 297-319, January. [Downloadable!] (restricted)
  5. Brian Arthur, W. & Ermoliev, Yu. M. & Kaniovski, Yu. M., 1987. "Path-dependent processes and the emergence of macro-structure," European Journal of Operational Research, Elsevier, vol. 30(3), pages 294-303, June. [Downloadable!] (restricted)
  6. Weisbuch, Gerard & Kirman, Alan & Herreiner, Dorothea, 2000. "Market Organisation and Trading Relationships," Economic Journal, Royal Economic Society, vol. 110(463), pages 411-36, April. [Downloadable!] (restricted)
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  7. Alan Kirman, 1997. "The economy as an evolving network," Journal of Evolutionary Economics, Springer, vol. 7(4), pages 339-353. [Downloadable!] (restricted)
  8. Blume Lawrence E., 1995. "The Statistical Mechanics of Best-Response Strategy Revision," Games and Economic Behavior, Elsevier, vol. 11(2), pages 111-145, November. [Downloadable!] (restricted)
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  9. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January. [Downloadable!] (restricted)
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  10. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July. [Downloadable!] (restricted)
  11. Brock, William A & Durlauf, Steven N, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Blackwell Publishing, vol. 68(2), pages 235-60, April.
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  14. Young, H Peyton, 1996. "The Economics of Convention," Journal of Economic Perspectives, American Economic Association, vol. 10(2), pages 105-22, Spring. [Downloadable!] (restricted)
  15. Sanjeev Goyal & Fernando Vega-Redondo, 2003. "Network Formation and Social Coordination," Working Papers 481, Queen Mary, University of London, Department of Economics. [Downloadable!]
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  16. Richard R Nelson & Alexander Peterhansl & Bhaven Sampat, 2004. "Why and how innovations get adopted: a tale of four models," Industrial and Corporate Change, Oxford University Press, vol. 13(5), pages 679-699, October.
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